Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16838130 | C2 | semidirect |
| 3. #16837775 | C2 | semidirect |
| 4. #16837773 | C2 | semidirect |
| 5. #16837607 | C2 | semidirect |
| 6. #16837606 | C2 | semidirect |
| 7. #16837602 | C2 | semidirect |
| 8. #16837601 | C2 | semidirect |
| 9. C8×Dic118 | C2 | semidirect |
| 10. #16837489 | C2 | semidirect |
| 11. C4×SD16×C59 | C2 | semidirect |
| 102. Dic118 | SD16 | semidirect |
| 104. C8×C59 | #41 | semidirect |
| 139. C4×SD16 | D59 | semidirect |
| 140. C59 | #3392 | semidirect |
| 234. C8 | #11745685 | semidirect |